Download Advances in Dynamic Game Theory: Numerical Methods, by Thomas L. Vincent, Steffen Jørgensen, Marc Quincampoix PDF

By Thomas L. Vincent, Steffen Jørgensen, Marc Quincampoix

This choice of chosen contributions provides an account of modern advancements in dynamic video game thought and its purposes, masking either theoretical advances and new purposes of dynamic video games in such components as pursuit-evasion video games, ecology, and economics. Written by means of specialists of their respective disciplines, the chapters contain stochastic and differential video games; dynamic video games and their purposes in quite a few components, resembling ecology and economics; pursuit-evasion video games; and evolutionary video game conception and functions. The paintings will function a state-of-the paintings account of contemporary advances in dynamic video game concept and its purposes for researchers, practitioners, and complicated scholars in utilized arithmetic, mathematical finance, and engineering.

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Extra info for Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and Applications to Ecology and Economics (Annals of the International Society of Dynamic Games, Volume 9)

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A differential game with two players and one target, SIAM J. Control and Optimization 34, no. 4, 1441–1460 (1996). [24] Cardaliaguet P. Non smooth semi-permeable barriers, Isaacs equation and application to a differential game with one target and two players, Appl. Math. Opti. 36, 125–146 (1997). , Quincampoix M. & Saint-Pierre P. Numerical methods for differential games, in “Stochastic and differential games: Theory and 32 P. Cardaliaguet, M. Quincampoix, P. Saint-Pierre numerical methods”, pp.

Quincampoix M. & Saint-Pierre P. Differential games with state-constraints. ISDG2002, Vol. I, II (St. Petersburg), 179–182, St. Petersburg State Univ. Inst. , St. Petersburg (2002). [29] Cruck E. Target problems under state constraints for nonlinear controlled impulsive systems, J. Math. Anal. Appl. 270, no. 2, 636–656 (2002). , Quincampoix, M. , Existence of a value for Pursuit-Evasion Games with Impulsive Dynamics, Preprint (2003). [31] Crück E. & Saint-Pierre P. Non linear Impulse Target Problems under State Constraint: A Numerical Analysis based on Viability Theory.

Plaskacz S. Invariant solutions of differential games and Hamilton-Jacobi equations for time-measurable hamiltonians, SIAM Journal on Control and Optim. 38, no. 5, 1501–1520 (2000). , Quincampoix M. & Saint-Pierre P. , SIAM J. Control and Optimization 39, no. 5, 1615–1632 (2001). , Quincampoix M. & Saint-Pierre P. Differential games with state-constraints. ISDG2002, Vol. I, II (St. Petersburg), 179–182, St. Petersburg State Univ. Inst. , St. Petersburg (2002). [29] Cruck E. Target problems under state constraints for nonlinear controlled impulsive systems, J.

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